757991664 has 120 divisors (see below), whose sum is σ = 2201244032. Its totient is φ = 243233280.

The previous prime is 757991627. The next prime is 757991677. The reversal of 757991664 is 466199757.

757991664 is a `hidden beast` number, since 7 + 579 + 9 + 1 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 757991664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236222 + ... + 1236834.

Almost surely, 2^757991664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 757991664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100622016).

757991664 is an abundant number, since it is smaller than the sum of its proper divisors (1443252368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

757991664 is a wasteful number, since it uses less digits than its factorization.

757991664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 926 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 757991664 is about 27531.6484068789. The cubic root of 757991664 is about 911.7759722125.

The spelling of 757991664 in words is "seven hundred fifty-seven million, nine hundred ninety-one thousand, six hundred sixty-four".